Calculate a Sphere's Volume?

Question

How do you calculate the volume of a sphere. I.e. A Ball that's 500 units in diameter all around. How you calculate how many units the ball has within the entire ball? How do you calculate the total volume?

Answer 1

250 cubed (to the third power) times pi times four thirds.

Answer 2

Volume of sphere = 4/3 * pi * radius^3
= 4/3 * pi * 250^3
= 4/3 * pi * 15 625 000
= 20 833 333.3 pi sq units

Answer 3

the sector the easy formula for the volume of a sphere became not commonplace in antiquity, and it turned right into a warfare to advance it. although, what became genuinely commonplace is the volume of a cylinder with base section A and good h. in certain it became commonplace that this volume is For the case of a acceptable round cylinder (whose base is a circle of radius r, and whose aspects are perpendicular to the bottom) the volume is we are able to discover this result useful interior the "dissection" below. evaluate the sector shown right here, and the set of little disks (i.e cylinders) stacked up with the intention to approximate its volume. genuinely, we've sliced up the sector into slices of equivalent thickness, and approximated each and each slice as a cylinder. obviously, the sum complete of the volumes in all the disks isn't the exact same because the volume of the sector, (there are bits via curved fringe of the sector which at the instantaneous are not blanketed interior the disks) yet when we make the slices very very skinny, the approximation will become extra effective and extra effective. certainly, if we take a reduce, because the range of slices, n, is going to infinity, we assume to obtain a diverse critical, a lot interior of an same way because it became received in complications suitable to the dissection of an abnormal section right into a chain of rectangles. we are able to now concentration interest on in basic terms between the disks that make up the slices, and get a manage on its volume. right that's a photo of what this little disk sounds like. Now we prefer to make sure out what its radius and good (thickness) is, that permits you to calculate the volume. assume that sphere shown above has a radius . If we comprise a coordinate axis (the y axis) and note that the sector extends from to , (a length of 2R), we see that the width of all the n slices (or disks) is we prefer to verify the area of the bottom of all the disks, and to finish that we ought to discover how the radius of a disk varies in accordance to its position. We see from the photo that, utilising the Pythagorean triangle, the radius of the disk is regarding the the coordinate at which the slice takes position, and to the radius of the sector, as follows: From this argument, we see that the volume of the ok'th disk is subsequently the volume contained interior of all n disks is:

Answer 4

.

The volume of a sphere is given by the formula,

V = (4/3) * π * r^3

You say that the diameter of this sphere is 500 units...
This means that the radius will be,
r = (1/2)*diameter
r = 250 units

Now, volume of the sphere is:

V = (4/3) * π * (r)^3
V = (4/3) * 3.14159 * (250)^3
V = 65449791.6667 cubic units

.

Answer 5

the Sphere radius can be obtained from the diameter

d=2r (In your case r = 250 units)

Volume of a sphere

V =(4/3)*pi*r^3 ( 4/3 x r x r x r x 3,14 )

Volume of your sphere:
= (250 * 250 * 250 *3,14)*(4/3)
=65449846,95 cubic units ( 6,54 x 10^7)

Answer 6

(1/6)pi(d^3) = volume of a sphere (~65,416,666 cu.units for d=500)

Play ball!

Answer 7

4/3 pi r^3

Four thirds pi r cubed, if the above wasn't obvious.

Diameter to radius would be
2 pi r

So-
500 = 2 pi r
500 / (2 pi) = r
(4/3) pi (500 / 2 pi)^3 = v